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From the given information we test whether are there any significant differences in the treatment means. Null Hypothesis : Ho: 1 = 2 = 3
From the given information we test whether are there any significant differences in the treatment means. Null Hypothesis : Ho: 1 = 2 = 3 = 4 V/S Alternative Hypothesis : H1: i j for at least one i and one j We use the F test to determine which hypothesis is accepted, First, we enter data into Excel for calculations. Here we use Statistic as : F = Where And, ng be the total observation in group g E(Xg) is the mean of group g E(XG) is the overall mean of data n be the total observation k be the number of groups. From the above excel output value of the F statistic is as F = 10.485 Let, F-critical value is F(2, 27) = 3.35........ for alpha 0.05 that is Fcalculated > Fcritical There we reject the Null hypothesis. i.e. there is a significant difference in the treatment means. We find which treatment means are significantly different from each other using the Bonferroni method as |Xi - Xj| X1, X2 |9.87-13.87| = 4 2.8471*0.5757*0.4472 = 0.733 X1, X3 |9.87 - 9.58| = 0.29 2.8471*0.6308*0.4472 = 0.8032 Here, The pooled standard deviation is simply the square root of the pooled variance. The table above shows that the first difference is larger than the critical value. This means that there are significant differences between Hypovolemic and Cardiogenic means. and the second difference is less than the critical value. This means that there are no significant differences between Hypovolemic and Bacterial means
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